maths.liouville_lambda

== Liouville Lambda Function == The Liouville Lambda function, denoted by λ(n) and λ(n) is 1 if n is the product of an even number of prime numbers, and -1 if it is the product of an odd number of primes.

https://en.wikipedia.org/wiki/Liouville_function

Functions

liouville_lambda(→ int)

This functions takes an integer number as input.

Module Contents

maths.liouville_lambda.liouville_lambda(number: int) → int

This functions takes an integer number as input. returns 1 if n has even number of prime factors and -1 otherwise. >>> liouville_lambda(10) 1 >>> liouville_lambda(11) -1 >>> liouville_lambda(0) Traceback (most recent call last):

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ValueError: Input must be a positive integer >>> liouville_lambda(-1) Traceback (most recent call last):

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ValueError: Input must be a positive integer >>> liouville_lambda(11.0) Traceback (most recent call last):

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TypeError: Input value of [number=11.0] must be an integer